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- W2612974801 abstract "We show that the monodromy group acting on $H^1(cdot,mathbb Z)$ of a smooth hyperplane section of a del Pezzo surface over $mathbb C$ is the complete group $mathrm{SL}_2(mathbb Z)$. For surfaces with $b_1=0$ and hyperplane section of genus $g>2$, there exist examples in which a similar assertion is false: for any $g>2$ there exists a smooth projective surface $Xsubsetmathbb P^n$ such that $H^1(X,mathbb Z)=0$, hyperplane section of $X$ has genus~$g$, and monodromy group acting on $H^1$ of a smooth hyperplane section is a proper subgroup of $mathrm{Sp}_{2g}(mathbb Z)$." @default.
- W2612974801 created "2017-05-19" @default.
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- W2612974801 date "2017-05-05" @default.
- W2612974801 modified "2023-09-27" @default.
- W2612974801 title "On monodromy groups of del Pezzo surfaces" @default.
- W2612974801 hasPublicationYear "2017" @default.
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