Systems of cubic forms in many variables
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Simon L. Rydin Myerson
Abstract
We consider a system of R cubic forms in n variables, with integer coefficients, which define a smooth complete intersection in projective space. Provided
Funding source: Engineering and Physical Sciences Research Council
Award Identifier / Grant number: EP/J500495/1
Award Identifier / Grant number: EP/M507970/1
Funding statement: This research was supported by Engineering and Physical Sciences Research Council grants EP/J500495/1 and EP/M507970/1.
Acknowledgements
This paper is based on a DPhil thesis submitted to Oxford University. I would like to thank my DPhil supervisor, Roger Heath-Brown. I am grateful to Rainer Dietmann for helpful conversations.
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- The structure of spaces with Bakry–Émery Ricci curvature bounded below
- Global decomposition of GL(3) Kloosterman sums and the spectral large sieve
- Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs
- The evolution of complete non-compact graphs by powers of Gauss curvature
- Littlewood–Richardson coefficients for Grothendieck polynomials from integrability
- Prime II1 factors arising from irreducible lattices in products of rank one simple Lie groups
- Systolic geometry and simplicial complexity for groups
- Identifiability of homogeneous polynomials and Cremona transformations
- Systems of cubic forms in many variables
Artikel in diesem Heft
- Frontmatter
- The structure of spaces with Bakry–Émery Ricci curvature bounded below
- Global decomposition of GL(3) Kloosterman sums and the spectral large sieve
- Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs
- The evolution of complete non-compact graphs by powers of Gauss curvature
- Littlewood–Richardson coefficients for Grothendieck polynomials from integrability
- Prime II1 factors arising from irreducible lattices in products of rank one simple Lie groups
- Systolic geometry and simplicial complexity for groups
- Identifiability of homogeneous polynomials and Cremona transformations
- Systems of cubic forms in many variables
