arXiv subjects

Shikha Bhutani

Publications and source records attributed to Shikha Bhutani.

2 recordsLinked to original sources

arXiv2026

Boundedness of geometrically integral $ε$-klt del Pezzo surfaces

We prove the remaining positive characteristic cases of the Borisov-Alexeev-Borisov conjecture for geometrically integral $\varepsilon$-klt del Pezzo surfaces over arbitrary fields. Bernasconi and Martin established boundedness outside characteristics $2$, $3$, and $5$, and reduced the remaining cases to a uniform bound for the irregularity. We prove this bound, thereby completing the boundedness theorem in all positive characteristics.

math.AG↗

arXiv2025

On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields

We prove the Kawamata-Viehweg vanishing theorem for surfaces of del Pezzo type over imperfect fields of characteristic $p > 5$. As a consequence, we deduce the Grauert-Riemenschneider vanishing theorem for excellent divisorial log terminal threefolds whose closed points have (possibly imperfect) residue fields of positive characteristic $p > 5$. Finally, under this setup, we show that three-dimensional klt singularities are rational.

math.AG↗