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On Valency

published · living versions
W_x8s6q2yd·v1 · currentpublished
The m=2m=2 amplituhedron is a positive geometry
with Joris Koefler, Dmitrii Pavlov
1 version

Preprints & journals

41 papers in the corpus · 2009–2026
The m=2m=2 amplituhedron is a positive geometry2610.27903v1 · Joris Koefler, Dmitrii Pavlov, Rainer Sinn2026 · 0 citationsarXivon Valency
Local dimension testing via quadratic obstructions2609.02818v1 · Taylor Brysiewicz, Rainer Sinn2026 · 0 citationsarXiv
Stubborn Polynomials2602.01191v1 · Lorenzo Baldi, Grigoriy Blekherman, Khazhgali Kozhasov et al.2026 · 0 citationsarXiv
Positive Genus Pairs from Amplituhedra2601.11142v2 · Joris Koefler, Dmitrii Pavlov, Rainer Sinn2026 · 0 citationsarXiv
Toric extensions of Pólya's theorem2511.07342v1 · Lorenzo Baldi, Rainer Sinn, M'at'e L. Telek et al.2025 · 0 citationsarXiv
Taking the amplituhedron to the limit2501.08221v1 · Joris Koefler, Rainer Sinn2025 · 0 citationsarXiv
Spurious local minima in nonconvex sum-of-squares optimization2411.02208v2 · Grigoriy Blekherman, Rainer Sinn, Mauricio Velasco et al.2024 · 0 citationsarXiv
Pythagoras Numbers for Ternary Forms2410.17123v2 · Grigoriy Blekherman, Alex Dunbar, Rainer Sinn2024 · 0 citationsarXiv
Nonnegativity certificates on real algebraic surfaces2409.08834v1 · Grigoriy Blekherman, Rainer Sinn, Gregory G. Smith et al.2024 · 0 citationsarXiv
Plane quartics and heptagons2408.15759v1 · Daniele Agostini, Daniel Plaumann, Rainer Sinn et al.2024 · 0 citationsarXiv
Nonnegative Polynomials and Moment Problems on Algebraic Curves2407.06017v2 · Lorenzo Baldi, Grigoriy Blekherman, Rainer Sinn2024 · 0 citationsarXiv
Adjoints and Canonical Forms of Tree Amplituhedra2402.06527v1 · Kristian Ranestad, Rainer Sinn, Simon Telen2024 · 4 citationsMathematica Scandinavica, 130(3), 433-466 (2024)
Landau on Chess Tournaments and Google's PageRank2210.17300v1 · Rainer Sinn, Gunter M. Ziegler2022 · 0 citationsarXiv
Convex hulls of surfaces in fourspace2209.01151v1 · Chiara Meroni, Kristian Ranestad, Rainer Sinn2022 · 0 citationsCollectanea Mathematica (2024)
Tropical Positivity and Determinantal Varieties2205.14972v1 · Marie-Charlotte Brandenburg, Georg Loho, Rainer Sinn2022 · 9 citationsarXiv
Weak and Strong Extremal Biquadratics2204.10625v1 · Grigoriy Blekherman, Bogdan Raita, Isabelle Shankar et al.2022 · 0 citationsarXiv
Moments, Sums of Squares, and Tropicalization2203.06291v2 · Grigoriy Blekherman, Felipe Rinc'on, Rainer Sinn et al.2022 · 0 citationsarXiv
Adjoints and Canonical Forms of Polypols2108.11747v2 · Kathl'en Kohn, Ragni Piene, Kristian Ranestad et al.2021 · 7 citationsDocumenta Mathematica - Doc. Math. 30 (2025), pp. 275-346
Do alcoved lattice polytopes have unimodal h*-vector?2104.15080v1 · Rainer Sinn, Hannah Sjoberg2021 · 0 citationsarXiv
Families of faces and the normal cycle of a convex semi-algebraic set2104.13306v1 · Daniel Plaumann, Rainer Sinn, Jannik Lennart Wesner2021 · 5 citationsarXiv
Sums of Squares: A Real Projective Story2101.05773v1 · Grigoriy Blekherman, Rainer Sinn, Gregory G. Smith et al.2021 · 3 citationsNotices of the American Mathematical Society, 68 (2021) no. 5, 734-747
Maximum Likelihood Estimation for Nets of Conics2011.08989v3 · Stefan Dye, Kathl'en Kohn, Felix Rydell et al.2020 · 5 citationsarXiv
Existence of Two View Chiral Reconstructions2011.07197v3 · Andrew Pryhuber, Rainer Sinn, Rekha R. Thomas2020 · 2 citationsarXiv
On the Dimensions of the Realization Spaces of Polytopes2007.00645v1 · Laith Rastanawi, Rainer Sinn, Gunter M. Ziegler2020 · 2 citationsarXiv
The Chiral Domain of a Camera Arrangement2003.09265v4 · Sameer Agarwal, Andrew Pryhuber, Rainer Sinn et al.2020 · 4 citationsarXiv
Hyperbolic Secant Varieties of M-Curves2002.00486v1 · Mario Kummer, Rainer Sinn2020 · 3 citationsarXiv
Combinatorial Inscribability Obstructions for Higher-Dimensional Polytopes1910.05241v2 · Joseph Doolittle, Jean-Philippe Labb'e, Carsten E. M. C. Lange et al.2019 · 1 citationarXiv
Sums of Squares and Quadratic Persistence on Real Projective Varieties1902.02754v2 · Grigoriy Blekherman, Rainer Sinn, Gregory G. Smith et al.2019 · 3 citationsJournal of the European Mathematical Society (JEMS), 24 (2022), no. 3, 925-965
Typical and Generic Ranks in Matrix Completion1802.09513v2 · Daniel Irving Bernstein, Grigoriy Blekherman, Rainer Sinn2018 · 14 citationsarXiv
Positive Semidefinite Univariate Matrix Polynomials1707.08261v1 · Christoph Hanselka, Rainer Sinn2017 · 3 citationsarXiv
Maximum Likelihood Threshold and Generic Completion Rank of Graphs1703.07849v2 · Grigoriy Blekherman, Rainer Sinn2017 · 11 citationsarXiv
Gram Spectrahedra1608.00234v3 · Lynn Chua, Daniel Plaumann, Rainer Sinn et al.2016 · 1 citationContemporary Mathematics Vol. 697, p.81-105 (2017)
Do Sums of Squares Dream of Free Resolutions?1607.03551v2 · Grigoriy Blekherman, Rainer Sinn, Mauricio Velasco2016 · 18 citationsarXiv
Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree1606.04387v2 · Grigoriy Blekherman, Daniel Plaumann, Rainer Sinn et al.2016 · 10 citationsarXiv
Real Rank with Respect to Varieties1511.07044v1 · Grigoriy Blekherman, Rainer Sinn2015 · 22 citationsarXiv
Extreme Rays of the Hankel Spectrahedra for Ternary Forms1406.1873v3 · Grigoriy Blekherman, Rainer Sinn2014 · 5 citationsarXiv
The Algebraic Boundary of SO(2)-Orbitopes1108.2992v1 · Rainer Sinn2011 · 1 citationarXiv
Career total: 72 works. 41 are in this corpus.

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