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LineBundleData

Struct LineBundleData 

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pub struct LineBundleData {
    pub self_intersection: i64,
    pub curve_intersections: Vec<i64>,
}
Expand description

Represents a line bundle on a smooth projective variety by its numerical data.

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§self_intersection: i64

Self-intersection number (for surfaces: L²).

§curve_intersections: Vec<i64>

Intersection with a curve class (for ampleness checks).

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impl LineBundleData

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pub fn new(self_intersection: i64, curve_intersections: Vec<i64>) -> Self

Create a LineBundleData with given self-intersection and curve intersections.

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pub fn is_ample_nakai_moishezon(&self) -> bool

Check ampleness via Nakai-Moishezon on a surface: L² > 0 and L·C > 0 for all curves.

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pub fn is_nef(&self) -> bool

Check the nef property: L·C ≥ 0 for all curves.

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pub fn seshadri_constant(&self, multiplicities: &[u64]) -> f64

Compute the Seshadri constant (simplified: min ratio L·C / mult_x(C)).

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impl Clone for LineBundleData

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fn clone(&self) -> LineBundleData

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for LineBundleData

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more

Auto Trait Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.