S. Mukai

activity

19972023

most citedVector bundles on a K3 surface

41 citations · 95 across the 8 of their papers we have counts for

collaborators

9 papers

math.AG2023

Polarized K3 surfaces of genus thirteen and curves of genus three

Akihiro Kanemitsu, Shigeru Mukai

We describe a general (primitively) polarized K3 surface $(S, h)$ with $(h^{2}) = 24$ as a complete intersection variety with respect to vector bundles on the $6$ -dimensional moduli spa…

math.AG2021★ 1 cited

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…

math.GT2016

Counting curve types

Tarik Aougab, Juan Souto

Let $S$ be a closed orientable hyperbolic surface, and let $O (K, S)$ denote the number of mapping class group orbits of curves on $S$ with at most $K$ self-intersections.…

math.AG2015

The automorphism groups of Enriques surfaces covered by symmetric quartic surfaces

Shigeru Mukai, Hisanori Ohashi

Let $S$ be the (minimal) Enriques surface obtained from the symmetric quartic surface $(\sum_{i < j} x_{i} x_{j})^{2} = k x_{1} x_{2} x_{3} x_{4}$ in $P^{3}$ with $k \neq = 0, 4, 36$ , by taking quotient…

math.AG2014★ 11 cited

Finite groups of automorphisms of Enriques surfaces and the Mathieu group $M_{12}$

Shigeru Mukai, Hisanori Ohashi

An action of a group $G$ on an Enriques surface $S$ is called Mathieu if it acts on $H^{0} (2 K_{S})$ trivially and every element of order 2, 4 has Lefschetz number 4. A finite group $G$ …

math.AG2013★ 1 cited

Resultants and the Borcherds Phi-function