Results 21 to 30 of about 441 (145)
, 1999 This thesis is concerned with Hopf hypersurfaces of Kähler and nearly Kähler manifolds and gives special emphasis to the cases of hypersurfaces of complex projective spaces and of the 6-sphere endowed with its nearly Kähler almost complex structure ...
Martins, J.K., Martins, José Kenedy
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Lectures on polynomial equations: Max Noether’s Fundamental Theorem, The Jacobi Formula and Bézout’s Theorem [PDF]
, 2022 Using some commutative algebra we prove Max Noether’s Theorem, the Jacobi Formula and B´ezout’s Theorem for systems of polynomial equations defining transversal hypersurfaces without common points at ...
Płoski, Arkadiusz
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Birational Geometry of 3-fold Mori Fibre Spaces [PDF]
, 2004 We study the geography and birational geometry of 3-fold conic bundles over P\(^2\) and cubic del Pezzo fibrations over P\(^1\).
Brown, G., Corti, A., Zucconi, F.
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Algebraic CMC hypersurfaces of order 3 in Euclidean spaces
, 2019 Understanding and finding of general algebraic constant mean curvature surfaces in the Euclidean spaces is a hard open problem. The basic examples are the standard spheres and the round cylinders, all defined by a polynomial of degree 2.
Tkachev, Vladimir G.,, Perdomo, Oscar,
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Algebraic cycles on cubic hypersurfaces and Fano scheme of lines [PDF]
, 2020 In this dissertation, I study algebraic and geometric structures linking the cubic hypersurfaces and the associated Fano variety of lines in terms of algebraic cycles.The first part is the cylinder homomorphism.
Lyu, R.
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Real algebraic curves on real minimal del Pezzo surfaces
, 2020 The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein and Hilbert in the 19th century; in particular, the isotopy type classification of real algebraic curves with a fixed degree in the real projective plane is a ...
Manzaroli, Matilde, Matilde Manzaroli
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The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
wiley +1 more source
Fano 3-folds, K3 surfaces and graded rings [PDF]
, 2002 Explicit birational geometry of 3-folds represents a second phase of Mori theory, going beyond the foundational work of the 1980s. This paper is a tutorial and colloquial introduction to the explicit classification of Fano 3-folds (Q-Fano 3-folds), a ...
Reid, Miles +2 more
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