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Author ORCID Identifier
N/A
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2016
Month Degree Awarded
May
First Advisor
Eyal Markman
Subject Categories
Algebraic Geometry
Abstract
Consider any rational Hodge isometry $\psi:H^2(S_1,\QQ)\rightarrow H^2(S_2,\QQ)$ between any two K\"ahler $K3$ surfaces $S_1$ and $S_2$. We prove that the cohomology class of $\psi$ in $H^{2,2}(S_1\times S_2)$ is a polynomial in Chern classes of coherent analytic sheaves over $S_1 \times S_2$. Consequently, the cohomology class of $\psi$ is algebraic whenever $S_1$ and $S_2$ are algebraic.
DOI
https://doi.org/10.7275/8200125.0
Recommended Citation
Buskin, Nikolay, "Algebraicity of rational Hodge isometries of K3 surfaces" (2016). Doctoral Dissertations. 626.
https://doi.org/10.7275/8200125.0
https://scholarworks.umass.edu/dissertations_2/626