Arithmetic inflection formulae for linear series on hyperelliptic curves
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2020
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| _version_ | 1866910029320290304 |
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| author | Cotterill, Ethan Darago, Ignacio Han, Changho |
| author_facet | Cotterill, Ethan Darago, Ignacio Han, Changho |
| contents | Over the complex numbers, Plücker's formula computes the number of inflection points of a linear series of projective dimension $r$ and degree $d$ on a curve of genus $g$. Here we explore the geometric meaning of a natural analogue of Plücker's formula in $\mathbb{A}^1$-homotopy theory for certain linear series on hyperelliptic curves defined over an arbitrary field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_01714 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Arithmetic inflection formulae for linear series on hyperelliptic curves Cotterill, Ethan Darago, Ignacio Han, Changho Algebraic Geometry Algebraic Topology Number Theory 14C20, 14C35, 14N10, 14P25, 14Hxx, 11Gxx, 11Txx, 19E15 Over the complex numbers, Plücker's formula computes the number of inflection points of a linear series of projective dimension $r$ and degree $d$ on a curve of genus $g$. Here we explore the geometric meaning of a natural analogue of Plücker's formula in $\mathbb{A}^1$-homotopy theory for certain linear series on hyperelliptic curves defined over an arbitrary field. |
| title | Arithmetic inflection formulae for linear series on hyperelliptic curves |
| topic | Algebraic Geometry Algebraic Topology Number Theory 14C20, 14C35, 14N10, 14P25, 14Hxx, 11Gxx, 11Txx, 19E15 |
| url | https://arxiv.org/abs/2010.01714 |