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...|txt|first=Alexander|last=Grothendieck|year=1997|authorlink=Grothendieck}} in a 1983 letter to [[Gerd Faltings]]. [[Category:Algebraic geometry]] ...

...e''' is, as of 2018, an unsolved conjecture proposed by [[Shing-Tung Yau]] in 1982. It asks: If true, it will imply that the area of embedded minimal [[hypersurface]]s in <math>S^3</math> will have an upper bound depending only on the [[genus (ma ...

In algebraic geometry, the '''abundance conjecture''' is a conjecture in [[birational geometry]], more precisely in the [[minimal model program]], ...

...on]]s of a set of forms. It is named after Ralf Fröberg, who introduced it in {{harvs|txt|last=Fröberg |year=1985|loc=page 120}}. The '''Fröberg–Iarrobin Given generic homogeneous polynomials <math> g_1,g_2,\ldots,g_k\in \mathbb{C}[x_1,x_2,\ldots,x_n]</math> of degrees <math> a_1,a_2,\ldots, a_k ...

In mathematics, the '''Zeeman conjecture''' or '''Zeeman's collapsibility conj ...d Classification of 3-Manifolds|volume=9|series=Algorithms and Computation in Mathematics|first=Sergei|last=Matveev|publisher=Springer|year=2007|isbn=978 ...

...lean function]]s originally conjectured by Ehud Friedgut and [[Gil Kalai]] in 1996.<ref>{{cite journal|last1=Friedgut|first1=Ehud|last2=Kalai|first2=Gil| ...= \sum_{S \subset [n]} \widehat{f}(S) x_S, \text{ where } x_S = \prod_{i \in S} x_i. </math> ...

{{Short description|Unsolved geometry problem}} ...points in the set. A shape covers a set if it contains a congruent subset. In other words the set may be rotated, translated or reflected to fit inside t ...

...ic+polygon&pg=PA168|title=Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics|last1=Croft|first1=Hallard T.|last2=Falconer|first2=K ...lygons with 2''n''+1 nodes such that the sum of the three nodes are equal. In their definition, a 3&thinsp;×&thinsp;3 magic square can be viewed as a mag ...

{{unsolved|mathematics|Is there a [[dense set]] of points in the plane at rational distances from each other?}} In [[mathematics]], the '''Erdős–Ulam problem''' asks whether the plane contai ...

{{Short description|Unsolved geometry problem about planar regions}} {{unsolved|mathematics|What is the minimum area of a shape that can cover every unit-l ...

...ng his plenary address at the [[International Congress of Mathematicians]] in [[Nice]]. Are the equators in <math>\mathbb{S}^{n+1}</math> the only smooth embedded minimal hypersurface ...

{{unsolved|mathematics|Can every simplex be dissected into a bounded number of orthosc In geometry, it is an unsolved [[conjecture]] of [[Hugo Hadwiger]] that every [[simplex]] can be [[Dissect ...

{{Short description|Unsolved problem in graph theory}} ...dean plane]]. It was proposed by [[Edgar Gilbert]] and [[Henry O. Pollak]] in 1968.<ref>{{Cite journal|last1=Gilbert|first1=E. N.|last2=Pollak|first2=H. ...

...the volume of the intersection of two geodesic balls |journal=Differential Geometry and Its Applications}}</ref> It is named after [[Americans|American]] [[mat ...<math>M^n</math> is called '''pointwise Osserman''' if, for every <math>p \in M^n</math>, the [[Spectrum (functional analysis)|spectrum]] of the [[Jacobi ...

{{short description|Unsolved problem in number theory}} In [[mathematics]], the '''Manin conjecture''' describes the conjectural distr ...

...ch has the smallest area-maximizing subset of squares in which the squares in the subset do not overlap?}} ...[[geometry]] concerning covering planar sets by squares. It was formulated in 1928 by [[Tibor Radó]] and has been generalized to more general shapes and ...

{{unsolved|mathematics|Do minor-closed graph families have <math>\ell_1</math> embeddi ...Ilan Newman, Yuri Rabinovich, and [[Alistair Sinclair]], who formulated it in 2004.{{r|gnrs}} ...

{{unsolved|mathematics|Can every <math>n</math>-dimensional convex body be covered by ...body is a [[parallelepiped]]. There also exists an equivalent formulation in terms of the number of floodlights needed to illuminate the body. ...

{{short description|Set of 36 mathematics problems posed by Yutaka Taniyama}} ...[[Yutaka Taniyama]] in 1955. The problems primarily focused on [[algebraic geometry]], [[number theory]], and the connections between [[modular form]]s and [[e ...

{{Short description|Unsolved problem in mathematics}} {{Unsolved|mathematics|Is every sufficiently large sequence of square numbers with con ...