Tony Pantev
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Member for 15 years, 2 months
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Last seen this week
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Is there a refinement of the Hochschild-Kostant-Rosenberg theorem for cohomology?
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Is there a refinement of the Hochschild-Kostant-Rosenberg theorem for cohomology?
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Schemes of Representations of Groups
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on chern classes and Riemann Roch theorem for torsion-free sheaves on singular (possibly multiple) curve
Oh, I see - we are after a formula with values in the integral Chow ring. I knew I was missing something! Is there any reason to believe that such a formula exists?
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A useful form of principle of connectedness
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resolution of singularities on surfaces
Yes, of course! Thanks for the comment! I edited my answer to fix this. As for the resolution theorem, I just meant what Valery explicitly said in his answer - Hironaka's theorem is too powerful a tool to use for such a simple question.
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resolution of singularities on surfaces
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A useful form of principle of connectedness
Yes, I did assume that the field is algebraically closed. Otherwise as Steven Sam pointed out we should say geometrically connected.
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Is the Torelli map an immersion?
Excellent point! I was been too quick and did my infinitesimal calculation away from the stacky points. So of course I missed this important point. Thanks VA!