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Publications
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(joint work with Simon Brandhorst and Sławomir Rams)
On characteristic polynomials of automorphisms of Enriques surfaces.
Publ. Res. Inst. Math. Sci. 59 (2023), no. 3, 633--656.
DOI 10.4171/PRIMS/59-3-7
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A note on Quebbemann's extremal lattices of rank 64. J. Théor. Nombres Bordeaux 34 (2022), no. 3, 813--826.
DOI: 10.5802/jtnb.1229
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(joint work with Simon Brandhorst)
Automorphism groups of certain Enriques surfaces.
Found. Comput. Math. 22 (2022), no. 5, 1463--1512.
DOI: 10.1007/s10208-021-09530-y
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Zariski multiples associated with quartic curves. J. Singul. 24 (2022), 169--189.
DOI: 10.5427/jsing.2022.24g
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(joint work with Simon Brandhorst)
Borcherds' method for Enriques surfaces. Michigan Math. J. 71 (2022), no. 1, 3--18.
DOI: 10.1307/mmj/20195769
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Rational double points on Enriques surfaces. Sci. China Math. 64 (2021), no. 4, 665--690.
DOI: s10.1007/s11425-019-1796-x
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(joint work with Davide Cesare Veniani)
Enriques involutions on singular K3 surfaces of small discriminants. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 21 (2020), 1667--1701.
DOI: 10.2422/2036-2145.201902_004
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(joint work with Igor Dolgachev)
15-nodal quartic surfaces. Part II: the automorphism group.
Rend. Circ. Mat. Palermo (2) 69 (2020), no. 3, 1165--1191.
DOI: 10.1007/s12215-019-00464-7
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The elliptic modular surface of level 4 and its reduction modulo 3.
Ann. Mat. Pura Appl. (4) 199 (2020), no. 4, 1457--1489.
DOI: 10.1007/s10231-019-00927-9
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On an Enriques surface associated with a quartic Hessian surface.
Canad. J. Math. 71 (2019), no. 1, 213--246.
DOI: 10.4153/CJM-2018-022-7
Corrigendum: Canad. J. Math. 2020, pp. 1--3.
DOI: 10.4153/S0008414X20000838
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Connected components of the moduli of elliptic K3 surfaces. Michigan Math. J. 67 (2018), no. 3, 511--559.
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On Edge's correspondence associated with ⋅222. Eur. J. Math. 4 (2018), no. 1, 399--412.
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An even extremal lattice of rank 64. J. Number Theory 185 (2018), 1--15.
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Holes of the Leech lattice and the projective models of K3 surfaces. Math. Proc. Cambridge Philos. Soc. 163 (2017), no. 1, 125--143.
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(joint work with Tetsuji Shioda)
On a smooth quartic surface containing 56 lines which is isomorphic as a K3 surface to the Fermat quartic.
Manuscripta Math. 153 (2017), no. 1--2, 279--297.
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(joint work with Alex Degtyarev)
On the topology of projective subspaces in complex Fermat varieties. J. Math. Soc. Japan 68 (2016), no. 3, 975--996.
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Automorphisms of supersingular K3 surfaces and Salem polynomials. Exp. Math. 25 (2016), no. 4, 389--398.
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The automorphism groups of certain singular K3 surfaces and an Enriques surface. K3 surfaces and their moduli, 297--343,
Progr. Math., 315, Birkhäuser/Springer, [Cham], 2016.
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An algorithm to compute automorphism groups of K3
surfaces and an application to singular K3 surfaces. Int. Math. Res. Not. IMRN 2015, no. 22,
11961--12014.
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(joint work with Thanh Hoai Hoang)
On Ballico-Hefez curves and associated supersingular surfaces. Kodai Math. J. 38 (2015), no. 1, 23--36.
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(joint work with De-Qi Zhang)
Dynkin diagrams of rank 20 on supersingular K3 surfaces. Sci. China Math. 58 (2015), no. 3, 543--552.
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(joint work with T. Katsura and S. Kondo)
On the supersingular K3 surface in characteristic 5 with Artin invariant 1. Michigan Math. J. 63 (2014), no. 4, 803--844.
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(joint work with S. Kondo)
On a certain duality of Néron-Severi lattices of supersingular K3 surfaces. Algebr. Geom. 1 (2014), no. 3, 311--333.
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The graphs of Hoffman-Singleton, Higman-Sims and McLaughlin, and the Hermitian curve of degree 6 in characteristic 5.
Australas. J. Combin. 59 (2014), 161--181.
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(joint work with S. Kondo)
The automorphism group of a supersingular K3 surface with Artin invariant 1 in characteristic 3.
Int. Math. Res. Not. IMRN 2014, no. 7, 1885--1924.
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Projective models of the supersingular K3 surface with Artin invariant 1 in
characteristic 5. J. Algebra 403 (2014), 273--299.
DOI: 10.1016/j.jalgebra.2013.12.029
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A note on rational normal curves totally tangent to a Hermitian variety.
Des. Codes Cryptogr. 69 (2013), no. 3, 299--303.
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On Frobenius incidence varieties of linear subspaces over finite fields. Finite Fields Appl. 18 (2012), no. 2, 337--361.
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(joint work with N. Takahashi)
Primitivity of sublattices generated by classes
of curves on an algebraic surface.
Comment. Math. Univ. St. Pauli, 59 (2010), no. 2, 77--95.
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Topology of curves on a surface and lattice-theoretic
invariants of coverings of the surface. Algebraic geometry in East Asia---Seoul 2008, 361--382, Adv. Stud. Pure Math., 60, Math. Soc. Japan, Tokyo, 2010.
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Lattice Zariski k-ples of plane sextic curves and Z-splitting
curves for double plane sextics.
Michigan Math. J., 59 (2010), 621--665.
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Generalized Zariski-van Kampen theorem and its application to Grassmannian dual varieties. Internat. J. Math. 21 (2010), no. 5, 591--637.
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Non-homeomorphic conjugate complex varieties. Singularities-Niigata-Toyama 2007, 285--301, Adv. Stud. Pure Math., 56, Math. Soc. Japan, Tokyo, 2009.
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(joint work with K. Arima) Zariski-van Kampen method and transcendental lattices of certain singular K3 surfaces. Tokyo J. Math. 32 (2009), no. 1, 201--227.
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Transcendental lattices and supersingular reduction lattices of a singular K3 surface. Trans. Amer. Math. Soc. 361 (2009), no. 2, 909--949.
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Singularities of dual varieties in characteristic 2. Algebraic geometry in East Asia---Hanoi 2005, 299--331, Adv. Stud. Pure Math., 50, Math. Soc. Japan, Tokyo, 2008.
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On arithmetic Zariski pairs in degree 6. Adv. Geom. 8 (2008), no. 2, 205--225.
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(joint work with De-Qi Zhang)
On Kummer type construction of supersingular K3 surfaces in characteristic 2. Pacific J. Math. 232 (2007), no. 2, 379--400.
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On normal K3 surfaces. Michigan Math. J. 55 (2007), no. 2, 395--416.
- (joint work with De-Qi Zhang)
K3 surfaces with ten cusps. Algebraic geometry, 187--211, Contemp. Math., 422, Amer. Math. Soc., Providence, RI, 2007.
- (joint work with Duc Tai Pho)
Unirationality of certain supersingular K3 surfaces in characteristic 5. Manuscripta Math. 121 (2006), no. 4, 425--435.
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Singularities of dual varieties in characteristic 3. Geom. Dedicata 120 (2006), 141-177.
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Moduli curves of supersingular K3 surfaces in characteristic 2 with Artin invariant 2. Proc. Edinb. Math. Soc. (2) 49 (2006), no. 2, 435--503.
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Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane. Asian J. Math. 8 (2004), no. 3, 531--586.
- Vanishing cycles, the generalized Hodge conjecture and Gr\"obner bases. Geometric singularity theory, 227--259, Banach Center Publ., 65, Polish Acad. Sci., Warsaw, 2004.
- Rational double points on supersingular K3 surfaces. Math. Comp. 73 (2004), no. 248, 1989--2017 (electronic).
- Supersingular K3 surfaces in odd characteristic and sextic double planes. Math. Ann. 328 (2004), no. 3, 451--468.
- Equisingular families of plane curves with many connected components. Vietnam J. Math. 31 (2003), no. 2, 193--205.
- Fundamental groups of algebraic fiber spaces. Comment. Math. Helv. 78 (2003), no. 2, 335--362.
- The fundamental group of the complement of a resultant hypersurface. Pacific J. Math. 210 (2003), no. 2, 351--357.
- Zariski hyperplane section theorem for Grassmannian varieties. Canad. J. Math. 55 (2003), no. 1, 157--180.
- On the Zariski-van Kampen theorem. Canad. J. Math. 55 (2003), no. 1, 133--156.
- Lattices of algebraic cycles on Fermat varieties in positive characteristics. Proc. London Math. Soc. (3) 82 (2001), no. 1, 131--172.
- (joint work with Zhang, De-Qi) Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces.
Nagoya Math. J. 161 (2001), 23--54.
- On elliptic K3 surfaces. Michigan Math. J. 47 (2000), no. 3, 423--446.
- On the commutativity of fundamental groups of complements to plane curves. Math. Proc. Cambridge Philos. Soc. 123 (1998), no. 1, 49--52.
- Fundamental groups of complements to singular plane curves. Amer. J. Math. 119 (1997), no. 1, 127--157.
- Picard-Lefschetz theory for the universal coverings of complements to affine hypersurfaces. Publ. Res. Inst. Math. Sci. 32 (1996), no. 5, 835--927.
- A note on Zariski pairs. Compositio Math. 104 (1996), no. 2, 125--133.
- Grothendieck's generalized Hodge conjecture for certain Fano varieties. Algebraic cycles and related topics (Kitasakado, 1994), 51--67, World Sci. Publishing, River Edge, NJ, 1995.
- A generalization of Lefschetz-Zariski theorem on fundamental groups of algebraic varieties. Internat. J. Math. 6 (1995), no. 6, 921--932.
- A generalization of Morin-Predonzan's theorem on the unirationality of complete intersections. J. Algebraic Geom. 4 (1995), no. 4, 597--638.
- On the fundamental group of the complement of a divisor in a homogeneous space. Math. Z. 220 (1995), no. 3, 445--448.
- Fundamental groups of open algebraic varieties. Topology 34 (1995), no. 3, 509--531.
- Remarks on fundamental groups of complements of divisors on algebraic varieties. Kodai Math. J. 17 (1994), no. 2, 311--319.
- A construction of algebraic curves whose Jacobians have non-trivial endomorphisms. Comment. Math. Univ. St. Paul. 43 (1994), no. 1, 25--34.
- Unirationality of certain complete intersections in positive characteristics. Tohoku Math. J. (2) 44 (1992), no. 3, 379--393.
- On supercuspidal families of curves on a surface in positive characteristic. Math. Ann. 292 (1992), no. 4, 645--669.
- On the cylinder homomorphism for a family of algebraic cycles. Duke Math. J. 64 (1991), no. 1, 201--205.
- On the cylinder isomorphism associated to the family of lines on a hypersurface. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 37 (1990), no. 3, 703--719.
- On the cylinder homomorphisms of Fano complete intersections. J. Math. Soc. Japan 42 (1990), no. 4, 719--738.
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