Search results
Results from the WOW.Com Content Network
In general this is an algebraic stack, and is a Deligne–Mumford stack for or =, or =, (in other words when the automorphism groups of the curves are finite). This moduli stack has a completion consisting of the moduli stack of stable curves (for given g {\displaystyle g} and n {\displaystyle n} ), which is proper over Spec Z .
The Stacks Project is an open source collaborative mathematics textbook writing project with the aim to cover "algebraic stacks and the algebraic geometry needed to define them".
In mathematics, an algebraic stack is a vast generalization of algebraic spaces, or schemes, which are foundational for studying moduli theory. Many moduli spaces are constructed using techniques specific to algebraic stacks, such as Artin's representability theorem , which is used to construct the moduli space of pointed algebraic curves M g ...
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
Some students studying math may develop an apprehension or fear about their performance in the subject. This is known as math anxiety or math phobia, and is considered the most prominent of the disorders impacting academic performance. Math anxiety can develop due to various factors such as parental and teacher attitudes, social stereotypes ...
In algebraic geometry, a derived stack is, roughly, a stack together with a sheaf of commutative ring spectra. [1] It generalizes a derived scheme . Derived stacks are the "spaces" studied in derived algebraic geometry .
Terence Tao compared it to "the venerable newsgroup sci.math, but with more modern, 'Web 2.0' features". [9] John C. Baez writes that "website 'Math Overflow' has become a universal clearinghouse for math questions". [10] According to Gil Kalai, MathOverflow "is ran by an energetic and impressive group of very (very very) young people". [11]
The designation E 7 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled A n, B n, C n, D n, and five exceptional cases labeled E 6, E 7, E 8, F 4, and G 2. The E 7 algebra is thus one of the five exceptional cases.