3 papers
math.AG2026
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…
math.AG2025
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…
math.AG2025
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…