Lev Borisov

activity

20232026

collaborators

3 papers

math.AG2026

Explicit Bicanonical Models of Eight Fake Quadrics

Lev Borisov, Carlos Rito

We compute explicit defining equations for eight fake quadrics arising as $Z /2 \times Z /4$ -covers of two singular $Z /2$ -Godeaux surfaces obtained in earlier w…

math.AG2025

Finding equations of the fake projective plane $(C 18, p = 3, {2 I})$

Lev Borisov, Bojue Wang

We find explicit equations of a new pair of fake projective planes, labeled by $(C 18, p = 3, {2 I})$ in the Cartwright-Steger classification. Our method involves starting with known e…

math.AG2023

Explicit equations of the fake projective plane $(a = 7, p = 2, \emptyset, D_{3} X_{7})$

Lev Borisov, Mattie Ji, Yanxin Li

We find explicit equations of the fake projective plane $(a = 7, p = 2, \emptyset, D_{3} X_{7})$ , which lies in the same class as the fake projective plane $(a = 7, p = 2, \emptyset, D_{3} 2_{7})$ with…

Explicit Bicanonical Models of Eight Fake Quadrics

Finding equations of the fake projective plane (C18,p=3,{2I})

Explicit equations of the fake projective plane (a=7,p=2,∅,D3​X7​)

Finding equations of the fake projective plane $(C 18, p = 3, {2 I})$

Explicit equations of the fake projective plane $(a = 7, p = 2, \emptyset, D_{3} X_{7})$