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        Questions tagged [reference-request]

        This tag is used if a reference is needed in a paper or textbook on a specific result.

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        Did Grothendieck-Serre write about toric varieties?

        I'm curious if Grothendieck or Serre wrote anything about toric varieties? Were they aware of the notion? I would much appreciate any references.
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        41 views

        The cover of the motivic sphere spectrum

        Let $\mathbb{1}$ be the motivic sphere spectrum over an algebraically closed field $k$. Consider the $n-1$-cover of $\mathbb{1}$ in the Voevodsky′s slice tower $f_{n}(\mathbb{1})\to \mathbb{1}$. My ...
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        1answer
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        Reference request: Gauge theory

        What are some good introductory texts to gauge theory? I have some basic differential geometry knowledge, but I don’t know any algebraic geometry. Also, as a side question, what intuitively is a ...
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        Reference Request: Total Variation Between Dependent and Independent Bernoulli Processes

        Let $X$ be a random variable taking values in $\{0,1\}^n$ with the following distribution. For each coordinate $i$, we have $p_i = P(X_i = 1) = c/\sqrt n$, where $c$ is a (very small) constant. ...
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        1answer
        66 views

        Non-trivial foliation (excluding the Reeb foliation)

        Let $M$ be a closed oriented manifold, an oriented foliation $F$ is said non-trivial, if $F$ is not fibration of $M$, i.e. there does not exist a closed manifold $B$, such that $M\overset{F}{\to} B$. ...
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        88 views

        Iterated free infinite loop spaces

        Let $Q$ denote $\Omega^\infty\circ \Sigma^\infty$ the free infinite loop space functor. Given some space $X$, we see that $QX$ carries all the stable homotopy information about $X$. Naturally I wanted ...
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        1answer
        112 views

        An easier reference than “On the Functional Equations Satisfied by Eisenstein Series”?

        I'd like to learn about Eisenstein series so I started reading "On the Functional Equations Satisfied by Eisenstein Series"by Langlands. http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/pdf/...
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        79 views

        Recognizing a restriction from $SL_2(\mathbb{C})$ to $SL_2(\mathbb{Z})$

        I am aware that classifying all $SL_2(\mathbb{Z})$ representations is more or less completely intractable, but I was wondering what is known about the following simpler question: How do I recognize ...
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        1answer
        273 views

        Is this line of thought (using linear algebra to get number theoretic results) already being pursued in the literature?

        Let $Log(n) = \sum_{i=1}^r \alpha_i \cdot e_i$, where $n = \prod_{i=1}^r p_i^{\alpha_i}$ and $p_i$ is the $i$-th prime, $\alpha_i \ge 0$, $e_i$ is the $i$-th standard basis vector. For example $6 = 2\...
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        0answers
        46 views

        Reference request: $n$-edge-coloring bipartite graph $K_{n,n}$ such that monochromatic parts are isomorphic

        I am finding references for the following problem: We call a $n\times n$ 0-1 matrix permutation if there are exactly one $1$ in each row/column. Suppose $A$ is a 0-1 matrix of size $n\times n$ in ...
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        votes
        1answer
        157 views

        Do analytic functionals form a cosheaf?

        Let $X$ be a complex-analytic manifold. Consider the sheaf of holomorphic functions $\mathcal{O}_X$ as a sheaf with values in the category of locally convex vector spaces. For $U\subseteq X$ open, we ...
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        41 views

        Lambek calculus, linear logic, and linear algebra

        In his 1958 paper, The Mathematics of Sentence Structure, Joachim Lambek introduced the Lambek calculus. In modern terms, it could be understood as a syntax for biclosed monoidal categories, and he ...
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        45 views

        Is there a three valued logic whose game semantics corresponds to potentially infinite games?

        Consider game trees with the following properties: Each node in the tree is one of the following: Verifier Choice: Has one or more children Falsifier Choice: Has one or more children No Choice: Has ...
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        26 views

        Bound for roots of a polynomial with coefficients in a non-Archimedean valued field

        Is there any bound for the valuation of the roots of a given polynomial with coefficients in an algebraically closed non-Archimedean valued field? Any reference or insight would be appreciated.
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        55 views

        Heights for rational points via Neron models

        I only just started reading about heights in arithmetic geometry, so forgive me if this question is naive. Suppose $E$ is an elliptic curve over a number field $K$ with ring of integers $R$ and let $\...

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        山西福彩快乐十分钟
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