Redundancy in string cone inequalities and multiplicities in potential functions on cluster varieties
نویسندگان
چکیده
Abstract We study defining inequalities of string cones via a potential function on reduced double Bruhat cell. give necessary criterion for the to provide minimal set tropicalization and conjecture an equivalence.
منابع مشابه
Multiplicities on Schubert Varieties
We calculate using Macaulay 2 the multiplicities of the most singular point on Schubert varieties on Gl(n)/B for n = 5, 6. The method of computation is described and tables of the results are included.
متن کاملin translation: translators on their work and what it means
کتاب در باب ترجمه، اثر استر آلن و سوزان برنوفسکی منتشر شده در ماه می 2013 توسط نشریه کلمبیا است. نویسندگان در این کتاب به بررسی 18 مترجم با در نظر گرفتن نقش آثاری که این مترجمان ترجمه کرده اند میپردازند. کتاب به دو بخش تقسیم میشود: " مترجم در جهان" و " کار مترجم" این دو بخش مقالات همیشگی ترجمه و موقعیت خاص ادبیات بیگانه در جهان وسیع امروزی را مورد خطاب قرار میدهد. در این کتاب مقالات متعددی از ن...
On Multiplicities of Points on Schubert Varieties in Graßmannians II
We prove a conjecture by Kreiman and Lakshmibai on a combinatorial description of multiplicities of points on Schubert varieties in Graßmannians in terms of certain sets of reflections in the corresponding Weyl group. The proof is accomplished by relating these sets of reflections to the author’s previous combinatorial interpretation of these multiplicities in terms of non-intersecting lattice ...
متن کاملOn Multiplicities of Points on Schubert Varieties in Grassmannians
Abstract. We answer some questions related to multiplicity formulas by Rosenthal and Zelevinsky and by Lakshmibai and Weyman for points on Schubert varieties in Grassmannians. In particular, we give combinatorial interpretations in terms of nonintersecting lattice paths of these formulas, which makes the equality of the two formulas immediately obvious. Furthermore we provide an alternative det...
متن کاملMultiplicities of Points on Schubert Varieties in Grassmannians
An important invariant of a singular point on an algebraic variety X is its multiplicity : the normalized leading coefficient of the Hilbert polynomial of the local ring. The main result of the present note is an explicit determinantal formula for the multiplicities of points on Schubert varieties in Grassmannians. This is a simplification of a formula obtained in [5]. More recently, the recurr...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2022
ISSN: ['0925-9899', '1572-9192']
DOI: https://doi.org/10.1007/s10801-022-01144-z