4 papers
Fano threefolds of genus 12 with large automorphism group in positive and mixed characteristic
Tetsushi Ito, Akihiro Kanemitsu, Teppei Takamatsu +1
We study prime Fano threefolds of genus 12 (-varieties) with positive-dimensional automorphism groups in positive and mixed characteristic. We classify such varieties over…
Quintic del Pezzo threefolds in positive and mixed characteristic
Tetsushi Ito, Akihiro Kanemitsu, Teppei Takamatsu +1
We show that smooth quintic del Pezzo threefolds over arbitrary base schemes are classified by non-degenerate ternary symmetric bilinear forms. Then we describe the automorphism gr…
Arithmetic finiteness of Mukai varieties of genus 7
Tetsushi Ito, Akihiro Kanemitsu, Teppei Takamatsu +1
We study arithmetic finiteness of prime Fano threefolds of genus 7 and their higher dimensional generalization, called Mukai varieties of genus 7. For prime Fano threefolds of genu…
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…