mathematics, a stacky curve is an object in algebraic geometry that is roughly an algebraic curve with potentially "fractional points" called stacky points....

introduced this notion in 1969 when they proved that moduli spaces of stable curves of fixed arithmetic genus are proper smooth Deligne–Mumford stacks. If the...

gives a stacky weighted projective variety. Stacky curves, or orbicurves, can be constructed by taking the stack quotient of a morphism of curves by the...

John; Zureick-Brown, David (16 March 2022). "The canonical ring of a stacky curve". arXiv:1501.04657 [math.AG]. Algebraic Geometry: A First Course. Springer...

e i {\displaystyle e_{i}} be the stabilizer orders of the stacky points of the stacky curve (equivalently, the cusps of the orbifold Γ ∖ H {\displaystyle...

In mathematics, the moduli stack of elliptic curves, denoted as M 1 , 1 {\displaystyle {\mathcal {M}}_{1,1}} or M e l l {\displaystyle {\mathcal {M}}_{\mathrm...

Just as there is a moduli stack of elliptic curves over C {\displaystyle \mathbb {C} } constructed as a stacky quotient of the upper-half plane by the action...

variety. These two moduli problems parametrize the same objects, but the stacky version remembers automorphisms of vector bundles. For any stable vector...

Kai Behrend. Unlike the classical one, the formula counts points in the "stacky way"; it takes into account the presence of nontrivial automorphisms. The...

groups is either a point (in characteristic zero) or an infinite chain of stacky points parametrizing heights. In characteristic zero, the closure of each...

O {\displaystyle \pi _{0}{\mathcal {O}}} -module. A derived stack is a stacky generalization of a derived scheme. Over a field of characteristic zero...

meaning we can understand the intrinsic normal bundle as a stacky incarnation for the failure of the normal sequence T U → T M | U → N U /...

was also a stackie. She has been restored and in 2017 is sailing again. Stackies have been popular with model-makers, and two are regularly displayed at...