4 papers · 1 filter
Objects of a Phantom on a Rational Surface
Amal Mattoo
Johannes Krah showed that the blowup of in general points admits a phantom subcategory. We construct three types of objects in such a phantom: a strong genera…
Non-smoothness of Moduli Spaces of Higher Genus Curves on Low Degree Hypersurfaces
Matthew Hase-Liu, Amal Mattoo
We show that the moduli space of degree maps from smooth genus curves to an arbitrary low degree smooth hypersurface is singular when is large compared to . We…
A Counterexample to a Question on Grothendieck Groups of Schemes
Amal Mattoo
If an element of the Grothendieck group of the derived category of a scheme is locally represented by perfect complexes, then can the original element be represented by a perfect c…
Virtual Complete Intersections in
Jiyang Gao, Yutong Li, Michael C. Loper +1
The minimal free resolution of the coordinate ring of a complete intersection in projective space is a Koszul complex on a regular sequence. In the product of projective spaces $\m…