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Sharp slope bounds for sweeping families of trigonal curves | Deopurkar Anand
; Patel Anand
; | Date: |
12 Nov 2012 | Abstract: | We establish sharp bounds for the slopes of curves in $ar{M}_g$ that sweep
the locus of trigonal curves, proving Stankova-Frenkel’s conjectured bound of
$7+6/g$ for even $g$ and obtaining the bound $7+20/(3g+1)$ for odd $g$. For
even $g$, we find an explicit expression of the so-called Maroni divisor in the
Picard group of the space of admissible triple covers. For odd $g$, we describe
the analogous extremal effective divisor and give a similar explicit
expression. | Source: | arXiv, 1211.2827 | Services: | Forum | Review | PDF | Favorites |
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