The W(E6)$W(E_6)$‐invariant birational geometry of the moduli space of marked cubic surfaces
Mathematische Nachrichten, Volume 297, Issue 7, Page 2639-2666, July 2024.Abstract The moduli space Y=Y(E6)$Y = Y(E_6)$ of marked cubic surfaces is one of the most classical moduli spaces in algebraic geometry, dating back to the nineteenth‐century work of Cayley and Salmon. Modern interest in Y$Y$ was restored in the 1980s by Naruki's explicit construction of a W(E6)$W(E_6)$‐equivariant smooth projective compactification Y¯$
Nolan Schock
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Geophysical Prospecting, Volume 72, Issue 5, Page 1985-2004, June 2024.Abstract Particle swarm optimization, one of the modern global optimization methods, is attracting widespread interest because it overcomes the difficulties of conventional inversion techniques, such as trapping at a local minimum and/or initial model dependence.
Ersin Büyük
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Conjectures for Cutting Pizza with Coxeter Arrangements
Experimental MathematicsWe are interested in conjecturing the sign of the pizza quantity P(H,B(a,R)) for the irreducible Coxeter arrangements H of type A_n, where n=2,3 bmod 4, and type D_n, where n is odd. Our approach is to express the pizza quantity in terms of the pizza quantity of subarrangements known as 2-structures, and we obtain the first non-zero term in the ...
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Equivariant perverse sheaves on Coxeter arrangements and buildings [PDF]
Épijournal de Géométrie Algébrique, 2019 When $W$ is a finite Coxeter group acting by its reflection representation on $E$, we describe the category ${\mathsf{Perv}}_W(E_{\mathbb C}, {\mathcal{H}}_{\mathbb C})$ of $W$-equivariant perverse sheaves on $E_{\mathbb C}$, smooth with respect to the stratification by reflection hyperplanes.
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Bases of the contact-order filtration of derivations of Coxeter arrangements [PDF]
Proceedings of the American Mathematical Society, 2005 In a recent paper, we constructed a basis for the contact-order filtration of the module of derivations on the orbit space of a finite real reflection group acting on an ℓ
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On Perverse sheaves of a Coxeter hyperplane arrangement of type $\mathcal{A}_n$
, 2022 Comments are ...
Dubey, Umesh V, Sarkar, Subham
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Programmable Self-Assembly of Nanoplates into Bicontinuous Nanostructures. [PDF]
ACS Nano, 2023 Tanaka H, Dotera T, Hyde ST.
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Symmetrical distributions of aminoacyl-tRNA synthetases during the evolution of the genetic code. [PDF]
Theory Biosci, 2023 José MV +3 more
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Myosin assembly of smooth muscle: from ribbons and side polarity to a row polar helical model. [PDF]
J Muscle Res Cell Motil, 2022 Sobieszek IJ, Sobieszek A.
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Historical development of the anesthetic machine: from Morton to the integration of the mechanical ventilator. [PDF]
Braz J Anesthesiol, 2021 Romero-Ávila P +2 more
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