Results 61 to 70 of about 441 (145)
Perazzo hypersurfaces and the Lefschetz properties [PDF]
, 2023 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Rosa M. Miró-Roig[en] The main goal of this writing is to introduce basic concepts of algebraic geometry and commutative algebra to be able ...
Borrego Llebaria, Àlex
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Bézout’s Theorem and Algebraic Geometry
, 2019 Anyone familiar with systems of polynomial equations (whether they majored in math or just had to solve a train-related word problem once) knows solving them can get complicated. Even when we can find solutions, who knows if there are more?
Goldman, Noah
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Algebraic boundaries of Hilbert’s SOS cones
, 2012 We study the geometry underlying the difference between non-negative polynomials and sums of squares (SOS). The hypersurfaces that discriminate these two cones for ternary sextics and quaternary quartics are shown to be Noether–Lefschetz loci of K3 ...
Sturmfels, Bernd +9 more
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The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Arch Ration Mech Anal, 2023 Holzegel G, Shao A.
europepmc +1 more source
ALESSANDRO VERRA (2005). Rationality and unirationality problems in algebraic geometry
, 2005 Survey paper on the theme of rationality and uniratioality in Algebraic Geometry. The contents follow rhe natural historical evolution of the subject since Lueroth problem to nowadays notions, in particular the notion of rationally connected varieties ...
VERRA, Alessandro
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Betti Numbers of Deterministic and Random Sets in Semi-Algebraic and O-Minimal Geometry
, 2020 Studying properties of random polynomials has marked a shift in algebraic geometry. Instead of worst-case analysis, which often leads to overly pessimistic perspectives, randomness helps perform average-case analysis, and thus obtain a more realistic ...
Natarajan, Abhiram
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SARS-CoV-2 Spike Protein Interaction Space. [PDF]
Int J Mol Sci, 2023 Lungu CN, Putz MV.
europepmc +1 more source
, 2023 Enumerative geometry is the subfield of algebraic geometry concerned with counting the number of solutions to geometric questions. Classically one restricts to working over algebraically closed fields to get invariant answers to such problems.
Nigam, Arjun
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Homogeneous and isotropic cosmology in general teleparallel gravity. [PDF]
Eur Phys J C Part Fields, 2023 Heisenberg L, Hohmann M, Kuhn S.
europepmc +1 more source
Projektionen tropischer Varietäten und eine Anwendung auf kurze tropische Basen
, 2010 Tropical geometry is the geometry of the tropical semiring \[\mathbb{T}:=(\mathbb{R}\cup\{\infty\},\min,+).\] Classical algebraic structures correspond to tropical structures. If $I\lhd K[x_1,\ldots,x_n]$ is an ideal in a polynomial ring over a field $K$
Hept, Kerstin
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