Timeline for Relationship between virtual cohomological dimension and tautological rings for moduli spaces of curves
Current License: CC BY-SA 3.0
5 events
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| Jan 29, 2018 at 6:30 | comment | added | Dan Petersen | ... and if all those bounds are sharp, then the "mystery equation" follows as a consequence. | |
| Jan 29, 2018 at 6:30 | comment | added | Dan Petersen | Hi Paolo, maybe. It seems plausible that the relationship between vcd and tautological classes passes through the conjectures of Looijenga on the # of affine open subsets needed to cover the moduli spaces of curves. Namely: (1) knowing what is the top degree of the tautological ring gives an upper bound on the dimension of a compact subvariety of the moduli space, (2) knowing the minimum number of open affines needed in a cover gives an upper bound for both the vcd and the largest dimension of a compact subvariety... | |
| Jan 29, 2018 at 0:23 | comment | added | issoroloap | this question has been here since 2013 and i just noticed it. Dan, do you happen to have got an answer since then? | |
| Aug 11, 2013 at 8:03 | history | edited | Dan Petersen | CC BY-SA 3.0 |
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| Aug 9, 2013 at 14:33 | history | asked | Dan Petersen | CC BY-SA 3.0 |