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pro vyhledávání: '"Beldiev, Ivan"'
We study projective hypersurfaces $X$ admitting an induced additive action, i.e., an effective action ${\mathbb G_a^m\times X\to X}$ of the vector group $\mathbb G_a^m$ with an open orbit that can be extended to an action on the ambient projective sp
Externí odkaz:
http://arxiv.org/abs/2404.18484
Autor:
Beldiev, Ivan
We study induced additive actions on projective hypersurfaces, i.e. regular actions of the algebraic group $\mathbb G_a^m$ with an open orbit that can be extended to a regular action on the ambient projective space. We prove that if a projective hype
Externí odkaz:
http://arxiv.org/abs/2303.05573
Autor:
Beldiev, Ivan
We study the group of isometries of the Grothendieck group $K_0(\mathbb P_n)$ equipped with the standard Euler form $\chi$ defined by $\chi(E, F) = \sum_{\nu}(-1)^\nu\dim Ext^\nu(E, F)$. We prove several properties of this group, in particular, we sh
Externí odkaz:
http://arxiv.org/abs/2212.01626