KURI-Repository
#1743 : K3 surfaces of genus sixteen, February 2012.
"Minimal models and extremal rays", Adv. Stud. Pure Math. 70, Math. Soc. Japan, Tokyo, 2016, pp. 379--396. genus16.pdf
Abstract. The generic polarized $K3$ surface (S, h) of genus 16,
that is, (h^2)=30, is described in a certain compactifeid moduli space \mathcal{T} of twisted cubics in P^3, as a com
plete intersection with respect to an almost homogeneous vector bundle of rank 10.
As corollary we prove the unirationality of the moduli space \mathcal{F}_{16} of such K3 surfaces.
#1751 : (with H. Ohashi) Enriques surfaces of Hutchinson-Gopel type and Mathieu automorphism, June 2012. ("Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefoolds", eds. M. Schuett, R. Laza and N. Yui, Fields Inst. for Research in Math. Sciences, Springer-Verlag, 2013)
#1795 : (with
H. Ohashi) The automorphism groups of Enriques surfaces covered by symmetric quartic surfaces, February 2014.
In ``Recent Advances in Algebraic Geometry", A volume in honor of Rob Lazarsfeld's 60th birthday, eds. Hacon, Mustata and Popa, Cambridge Univ. Press, 2015, 307--320.
KURI-Repository
#1961 : Curves and symmetric spaces III: BN-special vs. 1-PS degeneration, June 2022. Proc. Indian Acad. Sci. (Math. Sci.), 132:57(2022). Special issue in Memory of Prof. C.S. Seshadri.
#1987 : Cubic fourfolds with eleven cusps and a related moduli space, 2024.
Abstract : First we construct a cubic 4-fold whose singularities are 11 cusps and which has an action of the Mathieu group M11, all over the ternary field F3. We next consider a certain moduli space of bundles on a supersingular K3 surface of Artin invariant one in characteristic 3. We show that it has 275 (-2) Mukai vectors which form the McLaughlin graph, and ask questions on it and on its relation with our M11-cubic 4-fold.
INI preprint
(Programme: Moduli spaces MOS)
NI11008-MOS: Igusa quartic and Steiner surfaces, Contemp. Math. 564(2012), 205-210.
Igusa-Steiner.pdf
Correction published in "Siegel modular forms of genus 2 and level 2" by F. Clery, G. van der Geer and S. Grushevsky (Int. J. Math., 26(2015)) as an appendix.
IQSS_correction.pdf
Last modified: Oct. 28, 2024.