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W4382491468 abstract "The first published non-trivial examples of algebraic surfaces of general type with maximal Picard number are due to Persson, who constructed, inter alia, surfaces with maximal Picard number on the Noether line $K^2=2chi-6$ for every admissible pair $(K^2,chi)$ such that $chi notequiv 0 text{ mod } 6$. Few more classes of algebraic surfaces of general type with maximal Picard number have been constructed since then. In this note, given a non-negative integer $k$, algebraic surfaces of general type with maximal Picard number lying on the line $K^2=2chi-6+k$ are constructed for every admissible pair $(K^2,chi)$ such that $chigeq 2k+10$. These constructions, obtained as bidouble covers of rational surfaces, not only allow to fill in Persson's gap $chi equiv 0 text{ mod } 6$ on the Noether line, but they provide infinitely many new examples of algebraic surfaces of general type with maximal Picard number above the Noether line." @default.
W4382491468 created "2023-06-29" @default.
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W4382491468 creator A5087152754 @default.
W4382491468 date "2023-06-27" @default.
W4382491468 modified "2023-09-26" @default.
W4382491468 title "Surfaces of general type with maximal Picard number near the Noether line" @default.
W4382491468 doi "https://doi.org/10.48550/arxiv.2306.15241" @default.
W4382491468 hasPublicationYear "2023" @default.
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