41 citations · 95 across the 8 of their papers we have counts for
7 papers · 1 filter
Polarized K3 surfaces of genus thirteen and curves of genus three
Akihiro Kanemitsu, Shigeru Mukai
We describe a general (primitively) polarized K3 surface with as a complete intersection variety with respect to vector bundles on the -dimensional moduli spa…
j-invariant and Borcherds Phi-function
Shu Kawaguchi, Shigeru Mukai, Ken-Ichi Yoshikawa
We give a formula that relates the difference of the j-invariants with the Borcherds Phi-function, an automorphic form on the period domain for Enriques surfaces characterizing the…
The automorphism groups of Enriques surfaces covered by symmetric quartic surfaces
Shigeru Mukai, Hisanori Ohashi
Let be the (minimal) Enriques surface obtained from the symmetric quartic surface in with , by taking quotient…
Finite groups of automorphisms of Enriques surfaces and the Mathieu group
Shigeru Mukai, Hisanori Ohashi
An action of a group on an Enriques surface is called Mathieu if it acts on trivially and every element of order 2, 4 has Lefschetz number 4. A finite group …
Resultants and the Borcherds Phi-function
Shu Kawaguchi, Shigeru Mukai, Ken-Ichi Yoshikawa
The Borcherds Phi-function is the automorphic form on the moduli space of Enriques surfaces characterizing the discriminant locus. In this paper, we give an algebro-geometric const…
Obstructions to deforming curves on a 3-fold, I: A generalization of Mumford's example and an application to Hom schemes
Shigeru Mukai, Hirokazu Nasu
We give a sufficient condition for a first order infinitesimal deformation of a curve on a 3-fold to be obstructed. As application we construct generically non-reduced components o…