A. Krishna

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math.AG2026

Chow classes of orbit closures of skew-symmetric matrix pencils

Ari Krishna

Let $V$ be a six-dimensional complex vector space and let $G = Gr (2, Λ^{2} V^{\lor})$ parametrize pencils of skew-symmetric $6 \times 6$ matrices. The group $\operatorname{PGL…

math.AG2026

A universal discriminant formula for pencils of quadrics

Ari Krishna

Let $V$ be a vector space of dimension $n + 1$ over an algebraically closed field $k$ of characteristic zero, and let $G_{n} = Gr (2, Sym^{2} V^{\lor})$ …

math.AG2026

Pointed Evaluation Fibers of Rational Curves on del Pezzo Manifolds

Ari Krishna

Let $X$ be a Picard-rank-one del Pezzo manifold of dimension $n \geq 4$ over an algebraically closed field of characteristic zero. Okamura proved that the unpointed Kontsevich space…

math.AG2026

All Quiet on the Exceptional Locus

Ari Krishna

We study admissible subcategories of the bounded derived category of a smooth projective surface that are supported on the exceptional locus of a birational morphism. We prove that…

math.AG2026

On the Codimension-1 $PGL_{4}$ Orbit Closures in $Gr (2, 10)$

Ari Krishna

We study the natural action of $PGL (V)$ on the Grassmannian $G = Gr (2, Sym^{2} V^{\lor})$ , where $dim V = 4$ and points of $G$ are pencils of quadric…

Chow classes of orbit closures of skew-symmetric matrix pencils

A universal discriminant formula for pencils of quadrics

Pointed Evaluation Fibers of Rational Curves on del Pezzo Manifolds

All Quiet on the Exceptional Locus

On the Codimension-1 PGL4​ Orbit Closures in Gr(2,10)

On the Codimension-1 $PGL_{4}$ Orbit Closures in $Gr (2, 10)$