Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Ritvik Ramkumar"'
Autor:
Ritvik Ramkumar
Publikováno v:
Journal of Algebra. 617:17-47
We characterize Hilbert polynomials that give rise to Hilbert schemes with two Borel-fixed points and determine when the associated Hilbert schemes or their irreducible components are smooth. In particular, we show that the Hilbert scheme is reduced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee86b6927143f2b8bedd9f51e8743fa9
https://doi.org/10.1016/j.jalgebra.2022.11.003
https://doi.org/10.1016/j.jalgebra.2022.11.003
Autor:
Ritvik Ramkumar, Alessio Sammartano
The Hilbert scheme of points $\mathrm{Hilb}^n(S)$ of a smooth surface $S$ is a well-studied parameter space, lying at the interface of algebraic geometry, commutative algebra, representation theory, combinatorics, and mathematical physics. The founda
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8019aae31f48a6b902a7a922c03b2f79
Autor:
Alessio Sammartano, Ritvik Ramkumar
Publikováno v:
Journal of Pure and Applied Algebra. 226:106872
We study the geometry of standard graded Hilbert schemes of polynomial rings and exterior algebras. Our investigation is motivated by a famous theorem of Reeves and Stillman for the Grothendieck Hilbert scheme, which states that the lexicographic poi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eeb3680f9b69faca82f52d06a96f019e
https://doi.org/10.1016/j.jpaa.2021.106872
https://doi.org/10.1016/j.jpaa.2021.106872
Autor:
Ritvik Ramkumar, Alessio Sammartano
In this paper we study the tangent space to the Hilbert scheme $\mathrm{Hilb}^d \mathbf{P}^3$, motivated by Haiman's work on $\mathrm{Hilb}^d \mathbf{P}^2$ and by a long-standing conjecture of Brian\c{c}on and Iarrobino on the most singular point in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddc66ddda05cbcda8760b67de31c752a
http://arxiv.org/abs/1910.07662
http://arxiv.org/abs/1910.07662
Autor:
Ritvik Ramkumar
Let $\mathcal{H}_{a,b}^n$ denote the component of the Hilbert scheme whose general point parameterizes an $a$-plane union a $b$-plane meeting transversely in $\mathbf{P}^n$. We show that $\mathcal{H}_{a,b}^n$ is smooth and isomorphic to successive bl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f978256cb50044e27c3d74f522b9a402
http://arxiv.org/abs/1903.06377
http://arxiv.org/abs/1903.06377
Let $k$ be an algebraically closed field of characteristic zero, let $X$ and $Y$ be smooth irreducible algebraic curves over $k$, and let $D(X)$ and $D(Y)$ denote respectively the quotient division rings of the ring of differential operators of $X$ a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23e0336c1ee8a0f4d0e2a5b441006445