The Chow of S (inverted right perpendicular n inverted left perpendicular) and the universal subscheme
We prove that any element in the Chow ring of the Hilbert scheme Hilbn of n points on a smooth surface S is a universal class, i.e. the push-forward of a polynomial in the Chern classes of the universal subschemes on Hilb[subscript n] x S[superscript K] for some k ∈N, with coefficients pulled back f...
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| Format: | Article |
| Language: | English |
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Societatea de Științe Matematice din România
2021
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| Online Access: | https://hdl.handle.net/1721.1/130929 |
| _version_ | 1826206459456651264 |
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| author | Negut, Andrei |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Negut, Andrei |
| author_sort | Negut, Andrei |
| collection | MIT |
| description | We prove that any element in the Chow ring of the Hilbert scheme Hilbn of n points on a smooth surface S is a universal class, i.e. the push-forward of a polynomial in the Chern classes of the universal subschemes on Hilb[subscript n] x S[superscript K] for some k ∈N, with coefficients pulled back from the Chow of S[superscript K]. |
| first_indexed | 2024-09-23T13:29:56Z |
| format | Article |
| id | mit-1721.1/130929 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:29:56Z |
| publishDate | 2021 |
| publisher | Societatea de Științe Matematice din România |
| record_format | dspace |
| spelling | mit-1721.1/1309292022-09-28T14:36:40Z The Chow of S (inverted right perpendicular n inverted left perpendicular) and the universal subscheme Negut, Andrei Massachusetts Institute of Technology. Department of Mathematics We prove that any element in the Chow ring of the Hilbert scheme Hilbn of n points on a smooth surface S is a universal class, i.e. the push-forward of a polynomial in the Chern classes of the universal subschemes on Hilb[subscript n] x S[superscript K] for some k ∈N, with coefficients pulled back from the Chow of S[superscript K]. 2021-06-11T13:28:57Z 2021-06-11T13:28:57Z 2020 2021-06-09T17:01:02Z Article http://purl.org/eprint/type/JournalArticle 1220-3874 https://hdl.handle.net/1721.1/130929 Negut, Andrei. "The Chow of S (inverted right perpendicular n inverted left perpendicular) and the universal subscheme." Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie 64, 3 (2020): 385-394. en https://ssmr.ro/bulletin/volumes/63-4/node7.html Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Societatea de Științe Matematice din România Prof. Negut via Phoebe Ayers |
| spellingShingle | Negut, Andrei The Chow of S (inverted right perpendicular n inverted left perpendicular) and the universal subscheme |
| title | The Chow of S (inverted right perpendicular n inverted left perpendicular) and the universal subscheme |
| title_full | The Chow of S (inverted right perpendicular n inverted left perpendicular) and the universal subscheme |
| title_fullStr | The Chow of S (inverted right perpendicular n inverted left perpendicular) and the universal subscheme |
| title_full_unstemmed | The Chow of S (inverted right perpendicular n inverted left perpendicular) and the universal subscheme |
| title_short | The Chow of S (inverted right perpendicular n inverted left perpendicular) and the universal subscheme |
| title_sort | chow of s inverted right perpendicular n inverted left perpendicular and the universal subscheme |
| url | https://hdl.handle.net/1721.1/130929 |
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