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Algebraic Riemann manifolds(Real Algebraic Geometry)
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New Directions in Real Algebraic Geometry
Oberwolfach Reports, 2023This workshop explored the forefront of connections of real algebraic geometry with convex analysis, combinatorics, and computational complexity. Important aspects have been promising interactions with the fields of quantum information theory, discrete geometry, complex and random algebraic geometry.
Saugata Basu +3 more
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Algorithms in Real Algebraic Geometry
2003Algebraically Closed Fields.- Real Closed Fields.- Semi-Algebraic Sets.- Algebra.- Decomposition of Semi-Algebraic Sets.- Elements of Topology.- Quantitative Semi-algebraic Geometry.- Complexity of Basic Algorithms.- Cauchy Index and Applications.- Real Roots.- Cylindrical Decomposition Algorithm.- Polynomial System Solving.- Existential Theory of the ...
Basu, Saugata +2 more
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Real Analytic and Algebraic Geometry
1995The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
BROGLIA, FABRIZIO +2 more
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Coherent algebraic sheaves in real algebraic geometry
ANNALI DELL UNIVERSITA DI FERRARA, 1981In the following paper we give examples of vector bundlesF→X defined on a regular, compact, connected affine varietyX such thatF has no algebraic structure.
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Witt Rings in Real Algebraic Geometry
1998In the first section we define the Witt ring W(A) of a commutative ring A and compare it with the group K 0(A). In particular, if V is an algebraic set over a real closed field R, we show that the Witt ring W(S 0(V)) coincides with K 0(S 0(V)) (≃ KO(V) if R = ℝ).
Jacek Bochnak +2 more
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
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Circulating tumor DNA in advanced solid tumors: Clinical relevance and future directions
Ca-A Cancer Journal for Clinicians, 2021Michael L Cheng +2 more
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